Question and Answers Forum

AllQuestion and Answers: Page 1417

Question Number 60039 Answers: 2 Comments: 3

find all solutions for z∈C z^i =(1/2)−(1/2)i z^(1−i) =1+i

$$\mathrm{find}\:\mathrm{all}\:\mathrm{solutions}\:\mathrm{for}\:{z}\in\mathbb{C} \\ $$$${z}^{\mathrm{i}} =\frac{\mathrm{1}}{\mathrm{2}}−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{i} \\ $$$${z}^{\mathrm{1}−\mathrm{i}} =\mathrm{1}+\mathrm{i} \\ $$

Question Number 60036 Answers: 1 Comments: 0

Question Number 60027 Answers: 1 Comments: 0

∫x^i dx=?

$$\int{x}^{{i}} {dx}=? \\ $$

Question Number 60025 Answers: 0 Comments: 0

Question Number 60022 Answers: 0 Comments: 0

construct M^′ z^′ =(1/2)(((z+∣z∣)/3))

$${construct}\:{M}^{'} \:{z}^{'} =\frac{\mathrm{1}}{\mathrm{2}}\left(\frac{{z}+\mid{z}\mid}{\mathrm{3}}\right) \\ $$

Question Number 60021 Answers: 1 Comments: 0

Question Number 60016 Answers: 1 Comments: 0

A car dealar made a profit of 22.5% by selling a car for 58000 cedis. Find correct to two decimal places the percentage profit if the car had been sold for 61,200 cedis.

$$\mathrm{A}\:\mathrm{car}\:\mathrm{dealar}\:\mathrm{made}\:\mathrm{a}\:\mathrm{profit}\:\mathrm{of}\:\mathrm{22}.\mathrm{5\%} \\ $$$$\mathrm{by}\:\mathrm{selling}\:\mathrm{a}\:\mathrm{car}\:\mathrm{for}\:\mathrm{58000}\:\mathrm{cedis}.\:\mathrm{Find}\: \\ $$$$\mathrm{correct}\:\mathrm{to}\:\mathrm{two}\:\mathrm{decimal}\:\mathrm{places}\:\mathrm{the}\: \\ $$$$\mathrm{percentage}\:\mathrm{profit}\:\mathrm{if}\:\mathrm{the}\:\mathrm{car}\:\mathrm{had}\:\mathrm{been}\: \\ $$$$\mathrm{sold}\:\mathrm{for}\:\mathrm{61},\mathrm{200}\:\mathrm{cedis}.\: \\ $$

Question Number 60015 Answers: 0 Comments: 0

Question Number 60014 Answers: 0 Comments: 0

Question Number 60013 Answers: 0 Comments: 0

Question Number 60010 Answers: 1 Comments: 1

Question Number 60007 Answers: 1 Comments: 0

df of f(x)=x^x y^y

$${df}\:{of}\:{f}\left({x}\right)={x}^{{x}} {y}^{{y}} \\ $$

Question Number 60006 Answers: 0 Comments: 4

lim_(x→0) (x^x /x)=?

$${li}\underset{{x}\rightarrow\mathrm{0}} {{m}}\frac{{x}^{{x}} }{{x}}=? \\ $$

Question Number 60001 Answers: 0 Comments: 0

Question Number 60000 Answers: 0 Comments: 11

A cord is drawn at random in a given circle . Whats the probability p that the cord is longer than the side of an inscribed equilateral triangle in the circle?

$${A}\:{cord}\:{is}\:{drawn}\:{at}\:{random} \\ $$$${in}\:{a}\:{given}\:{circle}\:. \\ $$$${Whats}\:{the}\:{probability}\:\boldsymbol{{p}}\:{that} \\ $$$${the}\:{cord}\:{is}\:{longer}\:{than}\:{the}\:{side} \\ $$$${of}\:{an}\:{inscribed}\:{equilateral}\: \\ $$$${triangle}\:{in}\:{the}\:{circle}? \\ $$

Question Number 59999 Answers: 0 Comments: 0

let U_n =∫_0 ^∞ (e^(−n[x^2 ]) /((x^2 +3)^2 ))dx 1) find U_n interms of n 2) calvulate lim_(n→+∞) U_n 3)study the serie Σ U_n

$${let}\:{U}_{{n}} \:\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{e}^{−{n}\left[{x}^{\mathrm{2}} \right]} }{\left({x}^{\mathrm{2}} \:+\mathrm{3}\right)^{\mathrm{2}} }{dx} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{U}_{{n}} \:{interms}\:{of}\:{n} \\ $$$$\left.\mathrm{2}\right)\:{calvulate}\:\:{lim}_{{n}\rightarrow+\infty} \:\:\:{U}_{{n}} \\ $$$$\left.\mathrm{3}\right){study}\:{the}\:{serie}\:\Sigma\:{U}_{{n}} \\ $$

Question Number 59998 Answers: 1 Comments: 3

find ∫ (dx/(acosx +bsinx)) with a and b reals

$${find}\:\int\:\frac{{dx}}{{acosx}\:+{bsinx}}\:\:{with}\:{a}\:{and}\:{b}\:{reals} \\ $$

Question Number 59997 Answers: 1 Comments: 0

find (a,b,c) in R cos(a)+cos(b)+cos(c)=0 sin(a)+sin(b)+sin(c)=0

$${find}\:\left({a},{b},{c}\right)\:{in}\:{R}\: \\ $$$${cos}\left({a}\right)+{cos}\left({b}\right)+{cos}\left({c}\right)=\mathrm{0} \\ $$$${sin}\left({a}\right)+{sin}\left({b}\right)+{sin}\left({c}\right)=\mathrm{0} \\ $$

Question Number 59992 Answers: 1 Comments: 1